Possible causes for a rough idle
1. IACV problem
2. Bleed Coolant System
3. There is a valve inside your throttle body, that is probably loose so tighten it and it should work.
4. TPS. You have to loosen the two screws that hold on to it and adjust the tps (by tilting until you find a good setting for your throttle body)

I had the same problem and i went through hell.